A Participatory Approach to Modern Geometry by Jay Kappraff

By Jay Kappraff

This ebook goals to make the topic of geometry and its purposes effortless and comfy to appreciate through scholars majoring in arithmetic or the liberal arts, structure and layout. it may be used to educate scholars at diverse degrees of computational skill and there's additionally adequate novel fabric to curiosity scholars at a better cognitive point. whereas the booklet is going deeply into the functions of geometry, it comprises a lot introductory fabric which in the past won't were recognized to the scholar. The confident procedure utilizing compass and straightedge engages scholars, not only on an highbrow point, but additionally at a tactile point. this can be the single rigorous e-book delivering geometry that makes an attempt to interact scholars outdoor of the math discipline.Contents:

  • Triangle and sq. Grids
  • The Pythagorean Theorem
  • Scan changing of a Line Segment
  • Compass and Straightedge buildings (Part 1: the realm inside of a Triangle)
  • Congruent Triangles
  • Introduction to Trigonometry
  • The paintings of Proof
  • Angle
  • Voronoi Domains
  • Parallel Lines
  • Bracing a Framework
  • Similarity
  • Compass and Straightedge structures (Part 2: Doing Algebra with Geometry)
  • Area
  • Vectors and Geoboards
  • Logarithmic Spirals
  • The Golden and Silver Means
  • Isometries
  • Isometries and Mirrors
  • Kaleidoscopes and Symmetry
  • Groups and Kaleidoscope Symmetry
  • Frieze Patterns
  • An advent to Fractals
  • Isometries and Matrices

Readership: Undergraduate scholars of any self-discipline attracted to enhancing their visible knowing in geometry.
Key Features:

  • Engages the scholar in hands-on actions utilizing compass, straightedge, and protractor. In conversing approximately parts and vectors, geoboards are used. an immense fractal wallhanging is developed utilizing the iterative functionality approach. Compass and straightedge is used to create awesome patterns
  • There are many novel subject matters no longer lined in different books on geometry reminiscent of logarithmic spirals, Voronoi domain names with software to development popularity, parallel traces with program to bracing a framework, fractals, kaleidocopes, an advent to workforce theory
  • Projective geometry is brought at a optimistic point. the scholar is engaged in undertaking thirteen primary buildings of projective geometry. by means of targeting projective geometry, the homes of Euclidean geometry turn into extra comprehensible — together with the character of infinity and the that means of parallel lines

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